Relativity and Cosmology

    

On Relativistic Quantum Mechanics

Authors: Paul R. Gerber

A new way of factorizing the Klein-Gordon equation is proposed, which applies to fields of any type. The spin one-half case leads essentially to the Dirac equation. However, a new interpretation is given, in which the occurrence of anti-particles is a consequence of the two-valuedness of the representations of the Lorentz group in Hilbert space. Boosts have in these representations an anti-unitary component which leads to a change of the norm of wave functions. Under a boost, a state originally at rest develops a positive-frequency component. While the mass of a wave packet is a conserved quantity, its energy transforms according to the law of special relativity.

Comments: 6 Pages.

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Submission history

[v1] 2014-07-17 08:13:18

Unique-IP document downloads: 200 times

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